Does dbtool automatically increase the SQL-Width of a field if i change the display format?

Does dbtool increase the SQL-Width if i change my format?
Does dbtool increase the Max-Width if i change my format?

No.  The dbtool will only increase the SQL-Width/Max-Width of a field if a violation is detected within an existing field.  As an example, if you have an existing field with a format of x(20) and a SQL-Width of 40 and you increase the format to x(50), running dbtool will not automatically increase the SQL-Width unless there is an existing record with data in the field in question that exceeds the defined SQL-Width of 40.